Question

CosecA -cotA = 1/2, find cosA

Answer 1

cosecA - cotA = 1/2 can be re - written as...

1/sinA - cosA/sinA=1/2

1 - cosA/sinA=1/2

2- 2cosA= sin A

cosA=2-sinA/2

Hope that helps you !

Answer 2

Answer:3/5

Step-by-step explanation:

cosecA-cotA=1/2. - [1]

(cosecA-cotA)(cosecA+cotA)=(cosecA+cotA)/2

cosec^2A-cot^2A=(cosecA+cotA)/2

1=(cosecA+cotA)/2

2=cosecA+cotA. -[2]

Adding [1] and [2],

2cosecA=5/2

cosecA=5/4. -[3]

sinA=4/5. - [4]

By [2] and [3],

cotA + 5/4 = 2

cotA = 3/4

cosA/sinA = 3/4

cosA/4/5 = 3/4. (By [4])

5cosA/4 = 3/4

5cosA = 3

cosA = 3/5